Answer:
C. A reflection over the line y = -x
Step-by-step explanation:
You need to reflect that over a line that goes between the two of them. That imaginary line has a rise of -1 (it goes down 1 unit) and a run of 1 (it goes one unit to the right). In other words, the slope is -1. The line should also have a y-intercept of 0 it starts at (0,0).
Put that information in slope-intercept form
y = -1x + 0
You can take out the 0 because it adds nothing to the equation, and you can remove the one because of the same reason, but leave the negative sign.
y = -x
Answer:
G.
Step-by-step explanation:
cards = 2
dollars = 9
to check that the number of cards with the correct amount d;
use the ratio and proportion.
(3 x 18)/9 = 4
(4 x 31.5)/18 = 7
(7 x 45)/31.5 = 10
therefore, option G. table G. is the correct answer
try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount. (see attached)
Step-by-step explanation:
y-5=1/2(x+8) =
2(y-5)=x+8
2y-10=x+8
2y=x+18
2y-x-18=0
Answer:
see explanation
Step-by-step explanation:
Given a quadratic equation in standard form, ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the roots.
• If b² - 4ac > 0 then 2 real and distinct roots ( solutions )
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then roots are not real
Given
3x² - 6 = 2x ( subtract 2x from both sides )
3x² - 2x - 6 = 0 ← in standard form
with a = 3, b = - 2, c = - 6 , thus
b² - 4ac = (- 2)² - ( 4 × 3 × - 6) = 4 - (- 72) = 4 + 72 = 76
Since b² - 4ac > 0 then the solution is 2 real and distinct roots
<h3>Given</h3>
burned : unburned = 1 : 3
<h3>Find</h3>
burned/total as a percentage
<h3>Solution</h3>
burned : total = burned : (burned + unburned) = 1 : (1+3) = 1 : 4
As a fraction, this is 1/4 = 0.25 = 25%
25% of the total cookies were burned.
_____
"%" is a fancy way to write "/100". You know from place value that 0.25 (twenty-five hundredths) is 25/100, so that can also be written as 25%.
